Evaluate the line integral Vo• dr for the following function o and oriented curve C (a) using a parametric descriplion of C and evaluating the integral directy, and (b) using the Fundamertal Thearem ka ine integah.CP(x.y) = x + 5y;C r(t) = (4 – L), for 0s154Using either method. Ve•dr=D(Type an exact answer.)Enter your answer in the answer box.Thoughtful design

Answered: Image /qna-images/answer/b84f3699-7a27-408e-b90e-a48be6c0bada.jpg

Evaluate the line integral Vo dr for the following function o and oriented curve C (a) using a parametric descriplion of C and evaluating the integral directy, and (b) using the Fundamental Thearem kar ine intega. C P(x.y) =x+ 5y, C r(t) = (4 - L0), for 0sI54 Using either method, Ve-dr= (Type an exact answer.)

Evaluate the line integral Vo dr for the following function o and oriented curve C (a) using a parametric descriplion of C and evaluating the integral directy, and (b) using the Fundamental Thearem kar ine intega. C P(x.y) =x+ 5y, C r(t) = (4 - L0), for 0sI54 Using either method, Ve-dr= (Type an exact answer.)

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

Suppose that a thin metal plate of area A and constant density doccupies a region R in the xy-plane, and let My be the plate’s momentabout the y-axis. Show that the plate’s moment about the linex = b is My - bδA if the plate lies to the right of the line, and
Find the moment of inertia with resped to the y - axis of athin sheet of constant density s=1 gm/cm? bounded by the curve y= Sin²x/x² and the interval π ≤ x ≤ 2π of the x-dais.
Let C be the curve 27x −y³ = 0 between y= 0and y = 2. In each part, set up, but do not evaluate, an integral or a sum of integrals that solves the problem. (a) Find the area of the surface generated by revolving C about the x-axis by integrating with respect to x. (b) Find the area of the surface generated by revolving C about the y-axis by integrating with respect to y. (c) Find the area of the surface generated by revolving C about the line y = −2 by integrating with respect to y.
Use Green's Theorem to evaluate the line integral along the given positively oriented curve. xy2 dx + 4x2y dy C is the triangle with vertices (0, 0), (3, 3), and (3, 6)
Use Green's Theorem to evaluate the line integral along the given positively oriented curve. 3y3 dx − 3x3 dy C is the circle x2 + y2 = 4
Calculate the line integral ∫Cyxdx+dy over the curve y=lnx in the interval 1≤x≤e (Figure 4).
Use Green's Formula to evaluate the line integral along the positively oriented closed curve C: